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Finding the Fourth Proportional to 4,761.43, 6,564.48 and 3,907.57

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Solution

The fourth proportional to 4,761.43, 6,564.48 and 3,907.57 is: 5,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.43 : 6,564.48 = 3,907.57 : x
  2. Step 2: Convert to fraction form
    4,761.43/6,564.48 = 3,907.57/x
  3. Step 3: Cross multiply
    4,761.43x = 6,564.48 × 3,907.57
  4. Step 4: Simplify right side
    4,761.43x = 25,651,165.11
  5. Step 5: Solve for x
    x = 25,651,165.11/4,761.43
  6. Step 6: Final answer
    x = 5,387.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.